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Number of (n+2)X(n+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and column plus the two sums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally
1

%I #5 Jun 16 2015 10:24:55

%S 512,6271,55760,225215,219424,292814,73734,112980,204210,373950,

%T 691648,1293909,2450704,4696800,9101720,17813333,35142090,69765156,

%U 139164158,278562651,558960096,1123499142,2260769566,4552609547,9172064656

%N Number of (n+2)X(n+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and column plus the two sums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally

%C Diagonal of A259006

%H R. H. Hardin, <a href="/A258999/b258999.txt">Table of n, a(n) for n = 1..36</a>

%e Some solutions for n=3

%e ..0..0..1..1..0....1..1..0..0..1....0..1..0..0..0....0..1..1..0..0

%e ..0..1..0..1..1....0..0..0..0..1....0..0..0..0..1....1..0..0..1..1

%e ..0..1..0..1..0....0..1..1..1..1....1..0..0..0..1....0..1..1..1..1

%e ..1..1..1..1..0....1..1..1..1..1....0..0..1..1..0....1..1..1..1..1

%e ..1..0..1..0..1....0..0..1..1..0....0..1..1..0..1....1..1..1..0..0

%Y Cf. A259006

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 16 2015